Answer: (x - 7)(x - 8)
Step-by-step explanation:
The given equation is expressed as
x^2 - 15x + 56 = 0
This is a quadratic equation. We would solve by applying the method of factorization. The first step is to multiply x^2 with 56. It becomes 56x^2. We would find two terms such that their sum or difference is - 15x and their product is 56x^2. The terms are - 7x and - 8x. By replacing - 15x with - 7x - 8x, we have
x^2 - 7x - 8x + 56 = 0
We would factorize by grouping. It becomes
x(x - 7) - 8(x - 7) = 0
Since x - 7 is common, it becomes
(x - 7)(x - 8)